Minimal-mass blowup solutions of the mass-critical NLS

Terence Tao, Monica Vişan, Xiaoyi Zhang

Type: Preprint

Publication Date: 2006-01-01

Citations: 13

DOI: https://doi.org/10.48550/arxiv.math/0609690

View Publication

Locations

arXiv (Cornell University) - View
DataCite API - View
arXiv (Cornell University) - View
DataCite API - View
arXiv (Cornell University) - View
DataCite API - View

Similar Works

Action	Title	Year	Authors
+ PDF Chat	Minimal-mass blowup solutions of the mass-critical NLS	2008	Terence Tao Monica Vişan Xiaoyi Zhang
+ PDF Chat	Characterization of Minimal-Mass Blowup Solutions to the Focusing Mass-Critical NLS	2009	Rowan Killip Dong Li Monica Vişan Xiaoyi Zhang
+	Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS	2008	Rowan Killip Dong Li Monica Vişan Xiaoyi Zhang
+ PDF Chat	Minimal mass blow-up solutions for the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="mml1" display="inline" overflow="scroll" altimg="si1.gif"><mml:msup><mml:mrow><mml:mi>L</mml:mi></mml:mrow><mml:mrow><mml:mn>2</mml:mn></mml:mrow></mml:msup></mml:math>critical NLS with inverse-square potential	2017	Elek Csobo François Genoud
+ PDF	The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher	2008	Rowan Killip Monica Vişan Xiaoyi Zhang
+	The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher	2007	Rowan Killip Monica Vişan Xiaoyi Zhang
+	Global well-posedness and scattering for the mass-critical nonlinear Schrödinger equation for radial data in high dimensions	2006	Terence Tao Monica Vişan Xiaoyi Zhang
+ PDF	Classification of minimal mass blow-up solutions for an $${L^{2}}$$ L 2 critical inhomogeneous NLS	2016	Vianney Combet François Genoud
+	The focusing energy-critical nonlinear Schr\	2008	Rowan Killip Monica Vişan
+	Blowup rate for mass critical rotational nonlinear Schrödinger equations	2017	Nyla Basharat Yichen Hu Shijun Zheng
+	A global compact attractor for high-dimensional defocusing non-linear Schrödinger equations with potential	2008	Terence Tao
+	Classification of minimal mass blow-up solutions for an $L^2$ critical inhomogeneous NLS	2015	Vianney Combet François Genoud
+	Minimal mass blow-up solutions for nonlinear Schrödinger equations with a potential	2020	Naoki Matsui
+ PDF Chat	Minimal mass blow-up solutions for nonlinear Schrödinger equations with a potential	2023	Naoki Matsui
+	On the blowup for the $L^2$-critical focusing nonlinear Schrödinger equation in higher dimensions below the energy class	2006	Monica Vişan Xiaoyi Zhang
+ PDF	Minimal Blow-Up Solutions to the Mass-Critical Inhomogeneous NLS Equation	2010	Valeria Banica Rémi Carles Thomas Duyckaerts
+	The focusing energy-critical nonlinear Schrödinger equation in dimensions five and higher	2010	Rowan Killip Monica Vişan
+	Minimal mass blow-up solutions for the $L^2$-critical NLS with the Delta potential for radial data in one dimension	2021	Xingdong Tang Guixiang Xu
+	Scattering for the two-dimensional NLS with (full) exponential nonlinearity	2015	Alexander Adam Azzam
+	Low regularity blowup solutions for the mass-critical NLS in higher dimensions	2019	Chenmin Sun Jiqiang Zheng

Works That Cite This (13)

Action	Title	Year	Authors
+	Global well-posedness and polynomial bounds for the defocusing $L^{2}$-critical nonlinear Schr\"odinger equation in $\R$	2007	Daniela De Silva Nataša Pavlović Gigliola Staffilani Nikolaos Tzirakis
+	Global behaviour of nonlinear dispersive and wave equations	2006	Terence Tao
+ PDF Chat	Global well-posedness and scattering for the mass-critical Hartree equation with radial data	2008	Changxing Miao Guixiang Xu Lifeng Zhao
+ PDF Chat	The Nonlinear Schrödinger Equation with Combined Power-Type Nonlinearities	2007	Terence Tao Monica Vişan Xiaoyi Zhang
+	Regularity of almost periodic modulo scaling solutions for mass-critical NLS and applications	2009	Dong Li Xiaoyi Zhang
+ PDF	Global behaviour of nonlinear dispersive and wave equations	2006	T. Tao
+	None	2008
+	Characterization of minimal-mass blowup solutions to the focusing mass-critical NLS	2008	Rowan Killip Dong Li Monica Vişan Xiaoyi Zhang
+	The mass-critical nonlinear Schrödinger equation with radial data in dimensions three and higher	2007	Rowan Killip Monica Vişan Xiaoyi Zhang
+	The cubic nonlinear Schrödinger equation in two dimensions with radial data	2007	Rowan Killip Terence Tao Monica Vişan

Works Cited by This (14)

Action	Title	Year	Authors
+ PDF	Regularity of solutions to the free Schrödinger equation with radial initial data	2001	Mari Cruz Vilela
+ PDF	Ground state mass concentration in the $L^2$-critical nonlinear Schrödinger equation below $H^1$	2005	J. Colliander Sarah Raynor Catherine Sulem James Wright
+ PDF	On the asymptotic behavior of large radial data for a focusing non-linear Schrödinger equation	2004	Terence Tao
+	L2 concentration of blow-up solutions for the nonlinear Schrödinger equation with critical power nonlinearity	1990	Frank Merle Yoshio Tsutsumi
+ PDF	An abstract version of the concentration compactness principle	2002	Ian Schindler Cyril Tintarev
+	A Liouville theorem for the critical generalized Korteweg–de Vries equation	2000	Yvan Martel Frank Merle
+	On universality of blow-up profile for L 2 critical nonlinear Schr�dinger equation	2004	Frank Merle Pierre Raphaël
+ PDF Chat	Global well-posedness and scattering for the defocusing energy-critical nonlinear Schrödinger equation in R 1+4	2007	E. Ryckman Monica Vişan
+ PDF	Endpoint Strichartz estimates	1998	M. Keel Terence Tao
+	High frequency approximation of solutions to critical nonlinear wave equations	1999	Hajer Bahouri Patrick Gérard